Setting
Let denote a random vector (corresponding to the measurements), taken from a parametrized family of probability density functions or probability mass functions, which depends on the unknown deterministic parameter . The parameter space is partitioned into two disjoint sets and . Let denote the hypothesis that, and let denote the hypothesis that . The binary test of hypotheses is performed using a test function .
meaning that is in force if the measurement and that is in force if the measurement . Note that is a disjoint covering of the measurement space.
Read more about this topic: Uniformly Most Powerful Test
Famous quotes containing the word setting:
“The new sound-sphere is global. It ripples at great speed across languages, ideologies, frontiers and races.... The economics of this musical esperanto is staggering. Rock and pop breed concentric worlds of fashion, setting and life-style. Popular music has brought with it sociologies of private and public manner, of group solidarity. The politics of Eden come loud.”
—George Steiner (b. 1929)
“May we two stand,
When we are dead, beyond the setting suns,
A little from other shades apart,
With mingling hair, and play upon one lute.”
—William Butler Yeats (1865–1939)
“Many working mothers feel guilty about not being at home. And when they are there, they wish it could be perfect.... This pressure to make every minute happy puts working parents in a bind when it comes to setting limits and modifying behavior.”
—Cathy Rindner Tempelsman (20th century)